Metaphysical Myths, Mathematical Practice

The Ontology and Epistemology of the Exact Sciences

Author: Jody Azzouni

Publisher: Cambridge University Press

ISBN: 9780521442237

Category: Mathematics

Page: 249

View: 1688

Jody Azzouni argues in this original and exciting study that mathematical knowledge really is a special kind of knowledge with its own special means of gathering evidence. He analyzes the linguistic pitfalls and misperceptions philosophers in this field are often prone to, and explores the misapplications of epistemic principles from the empirical sciences to the exact sciences. What emerges is a picture of mathematics both sensitive to mathematical practice, and to the ontological and epistemological issues that concern philosophers.

Humanizing Mathematics and its Philosophy

Essays Celebrating the 90th Birthday of Reuben Hersh

Author: Bharath Sriraman

Publisher: Birkhäuser

ISBN: 331961231X

Category: Mathematics

Page: 363

View: 6881

This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben’s fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable “who’s who” list of 20th century luminaries from mathematics and philosophy, as well as from Reuben himself, this volume will appeal to a wide variety of readers from curious undergraduates to prominent mathematicians.

Truth, Objects, Infinity

New Perspectives on the Philosophy of Paul Benacerraf

Author: Fabrice Pataut

Publisher: Springer

ISBN: 3319459805

Category: Philosophy

Page: 309

View: 3283

This volume features essays about and by Paul Benacerraf, whose ideas have circulated in the philosophical community since the early nineteen sixties, shaping key areas in the philosophy of mathematics, the philosophy of language, the philosophy of logic, and epistemology. The book started as a workshop held in Paris at the Collège de France in May 2012 with the participation of Paul Benacerraf. The introduction addresses the methodological point of the legitimate use of so-called “Princess Margaret Premises” in drawing philosophical conclusions from Gödel’s first incompleteness theorem. The book is then divided into three sections. The first is devoted to an assessment of the improved version of the original dilemma of “Mathematical Truth” due to Hartry Field: the challenge to the platonist is now to explain the reliability of our mathematical beliefs given the very subject matter of mathematics, either pure or applied. The second addresses the issue of the ontological status of numbers: Frege’s logicism, fictionalism, structuralism, and Bourbaki’s theory of structures are called up for an appraisal of Benacerraf’s negative conclusions of “What Numbers Could Not Be.” The third is devoted to supertasks and bears witness to the unique standing of Benacerraf’s first publication: “Tasks, Super-Tasks, and Modern Eleatics” in debates on Zeno’s paradox and associated paradoxes, infinitary mathematics, and constructivism and finitism in the philosophy of mathematics. Two yet unpublished essays by Benacerraf have been included in the volume: an early version of “Mathematical Truth” from 1968 and an essay on “What Numbers Could Not Be” from the mid 1970’s. A complete chronological bibliography of Benacerraf’s work to 2016 is provided.Essays by Jody Azzouni, Paul Benacerraf, Justin Clarke-Doane, Sébastien Gandon, Brice Halimi, Jon Pérez Laraudogoitia, Mary Leng, Antonio León-Sánchez and Ana C. León-Mejía, Marco Panza, Fabrice Pataut, Philippe de Rouilhan, Andrea Sereni, and Stewart Shapiro.

Oxford Studies in Metaethics

Author: Russ Shafer-Landau

Publisher: Oxford University Press

ISBN: 0198738692

Category: Ethics

Page: 288

View: 6184

Oxford Studies in Metaethics is the only publication devoted exclusively to original philosophical work in the foundations of ethics. It provides an annual selection of much of the best new scholarship being done in the field. Its broad purview includes work being done at the intersections of ethical theory with metaphysics, epistemology, philosophy of language, and philosophy of mind. The essays included in the series provide an excellent basis for understanding recent developments in the field; those who would like to acquaint themselves with the current state of play in metaethics would do well to start here.

A Companion to Relativism

Author: Steven D. Hales

Publisher: John Wiley & Sons

ISBN: 9781444392487

Category: Philosophy

Page: 648

View: 4740

A Companion to Relativism presents original contributions from leading scholars that address the latest thinking on the role of relativism in the philosophy of language, epistemology, ethics, philosophy of science, logic, and metaphysics. Features original contributions from many of the leading figures working on various aspects of relativism Presents a substantial, broad range of current thinking about relativism Addresses relativism from many of the major subfields of philosophy, including philosophy of language, epistemology, ethics, philosophy of science, logic, and metaphysics

The indispensability of mathematics

Author: Mark Colyvan

Publisher: Oxford University Press, USA


Category: Mathematics

Page: 172

View: 788

The Quine-Putnam indispensability argument in the philosophy of mathematics urges us to place mathematical entities on the same ontological footing as other theoretical entities essential to our best scientific theories. Recently, the argument has come under serious scrutiny, with many influential philosophers unconvinced of its cogency. This book not only outlines the indispensability argument in considerable detail but also defends it against various challenges.

Educational Perspectives on Mathematics As Semiosis

From Thinking to Interpreting to Knowing

Author: Myrdene Anderson

Publisher: Legas Publishing


Category: Mathematics

Page: 364

View: 2203

Mathematics education research routinely receives the attention of educators, mathematicians, linguists, psychologists, anthropologists, and others. In this volume, the induction of students into mathematical meaning-making is studied through the prism of these several disciplines. What unites all such approaches to pedagogy and to the assessment of pegagogy- and to the subject matter of mathematics itself - is semiotics. Myrdene Anderson teaches at Purdue University, Adalira Saenz-Ludlow teaches at the U of North Carolina, Shea Zetlweger is former chair at Mount Union College, Ohio, Victor V. Cifarelli teaches at the U. ol North Carolina.

Philosophical Logic

Author: Timothy John Smiley

Publisher: British Academy


Category: Language Arts & Disciplines

Page: 158

View: 8469

This edited volume comes out of a one-day conference on philosophical logic at the British Academy in 1996. Philosophical logic covers a number of areas of thought, contrasting with the formal thinking of mathematical logic. Specifically, the essays here are concerned with language, including James Higginbotham, Professor of General Linguistics, Oxford, on 'Higher-Order Logic and Natural Language'.

Logic and Knowledge

Author: Carlo Cellucci,Emily Grosholz,Emiliano Ippoliti

Publisher: Cambridge Scholars Pub


Category: Philosophy

Page: 447

View: 7948

The problematic relation between logic and knowledge has given rise to some of the most important works in the history of philosophy, from Books VIVII of Platos Republic and Aristotles Prior and Posterior Analytics, to Kants Critique of Pure Reason and Mills A System of Logic, Ratiocinative and Inductive. It provides the title of an important collection of papers by Bertrand Russell (Logic and Knowledge. Essays, 19011950). However, it has remained an underdeveloped theme in the last century, because logic has been treated as separate from knowledge. This book does not hope to make up for a century-long absence of discussion. Rather, its ambition is to call attention to the theme and stimulating renewed reflection upon it. The book collects essays of leading figures in the field and it addresses the theme as a topic of current debate, or as a historical case study, or when appropriate as both. Each essay is followed by the comments of a younger discussant, in an attempt to transform what might otherwise appear as a monologue into an ongoing dialogue; each section begins with an historical essay and ends with an essay by one of the editors.

Proceedings of the ... IEEE International Conference on Fuzzy Systems

Author: IEEE Neural Networks Society,Institute of Electrical and Electronics Engineers (New York, N.Y.),International Conference on Fuzzy Systems,Korea Fuzzy Logic and Intelligent Systems Society,University of Melbourne,Texas A & M University,World Congress on Computational Intelligence (1994, Orlando, Fla),International Fuzzy Systems Association,World Congress on Computational Intelligence (1998, Anchorage, Alas.),Japan Society for Fuzzy Theory and Systems,IEEE Xplore

Publisher: N.A

ISBN: 9780780354074

Category: Fuzzy systems

Page: 1806

View: 2424


Ruch filozoficzny

Author: N.A

Publisher: N.A


Category: Philosophy

Page: N.A

View: 9021


Erbe und Auftrag

Benediktinische Monatsschrift

Author: N.A

Publisher: N.A


Category: Religion

Page: N.A

View: 8243